9 citations · 76 across the 31 of their papers we have counts for
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Analysis on trees with nondoubling flow measures
Matteo Levi, Federico Santagati, Anita Tabacco +1
We consider trees with root at infinity endowed with flow measures, which are nondoubling measures of at least exponential growth and which do not satisfy the isoperimetric inequal…
BMO spaces on weighted homogeneous trees
Laura Arditti, Anita Tabacco, Maria Vallarino
We consider an infinite homogeneous tree endowed with the usual metric defined on graphs and a weighted measure . The metric measure space is…
The Sobolev embedding constant on Lie groups
Tommaso Bruno, Marco M. Peloso, Maria Vallarino
In this paper we estimate the Sobolev embedding constant on general noncompact Lie groups, for sub-Riemannian inhomogeneous Sobolev spaces endowed with a left invariant measure. Th…
Poincaré and Hardy inequalities on homogeneous trees
Elvise Berchio, Federico Santagati, Maria Vallarino
We study Hardy-type inequalities on infinite homogeneous trees. More precisely, we derive optimal Hardy weights for the combinatorial Laplacian in this setting and we obtain, as a…